When I created The Stone Lions, I actually went to the Alhambra. It is true that most all the walls, the ceilings and the floors are covered with symmetry.
One of the things I tried to do in The Stone Lions, is use illustrations (sometimes tweaked to get a specific symmetry) from Owen Jones' book: Plans, elevations, sections, and details of the Alhambra published in the mid-1800's. At the time, the only way I could get access to it was through the courtesy of the SBCC Library, who borrowed it for me. It was so large and fragile that it couldn't be removed from the library. It took two of us to turn each pages while one, standing on a chair, photographed each page.
The other interesting piece of information I discovered during my research was what the palaces looked like (and the original lion fountain) in the late 1300's. Antonio Orihuela Uzal's book, Casas y palacios nazaríes, describes the Alhambra during the late 1300’s. I tried to stay true to the original plans as I wrote.
The illustrations from The Stone Lions are under here in color. The headers do not match the symmetry types.